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Finding the Fourth Proportional to 18,572.24, 27,840 and 6,882.32

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Solution

The fourth proportional to 18,572.24, 27,840 and 6,882.32 is: 10,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,572.24 : 27,840 = 6,882.32 : x
  2. Step 2: Convert to fraction form
    18,572.24/27,840 = 6,882.32/x
  3. Step 3: Cross multiply
    18,572.24x = 27,840 × 6,882.32
  4. Step 4: Simplify right side
    18,572.24x = 191,603,788.80
  5. Step 5: Solve for x
    x = 191,603,788.80/18,572.24
  6. Step 6: Final answer
    x = 10,316.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.